Hi all:
I get an error when i try to coerce monomials of a multivariate
polynomial ring over a number field to the corresponding polynomial
ring over QQbar. Shouldn't this work? They're monomials; no
coefficients. Here's an example.
Alex
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| Sage Version 3.2.3, Release Date: 2009-01-05 |
| Type notebook() for the GUI, and license() for information. |
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sage: var('t')
t
sage: F= NumberField(t^2+1,'a')
sage: R.<x,y>= PolynomialRing(F,2,'xy')
sage: print x.parent()
Multivariate Polynomial Ring in x, y over Number Field in a with
defining polynomial t^2 + 1
sage: RR= R.change_ring(QQbar)
sage: print RR(x).parent()
---------------------------------------------------------------------------
TypeError Traceback (most recent call
last)
/Users/arai021/<ipython console> in <module>()
/Applications/sage/local/lib/python2.5/site-packages/sage/rings/
polynomial/multi_polynomial_ring.pyc in __call__(self, x, check)
360 D = x.dict()
361 for i, a in D.iteritems():
--> 362 D[i] = K(a)
363 return MPolynomial_polydict(self, D)
364 elif set(P.variable_names()).issubset(set
(self.variable_names())) and self.base_ring().has_coerce_map_from
(P.base_ring()):
/Applications/sage/local/lib/python2.5/site-packages/sage/rings/
qqbar.pyc in __call__(self, x)
662 elif hasattr(x, '_algebraic_'):
663 return x._algebraic_(QQbar)
--> 664 return AlgebraicNumber(x)
665
666 def _repr_(self):
/Applications/sage/local/lib/python2.5/site-packages/sage/rings/
qqbar.pyc in __init__(self, x)
2512 """
2513 def __init__(self, x):
-> 2514 AlgebraicNumber_base.__init__(self, QQbar, x)
2515
2516 def __reduce__(self):
/Applications/sage/local/lib/python2.5/site-packages/sage/rings/
qqbar.pyc in __init__(self, parent, x)
2004 self._descr = ANExtensionElement
(QQbar_I_generator, QQbar_I_nf(x.list()))
2005 else:
-> 2006 raise TypeError, "Illegal initializer for
algebraic number"
2007
2008 self._value = self._descr._interval_fast(64)
TypeError: Illegal initializer for algebraic number
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